There are moments where we make decisions involving tradeoffs among costs and benefits occurring in different times. Essentially, in these cases, we are evaluating dynamic processes with outcomes still unknown. So, do we use some intuitive logic to judge changes involving values and time? The fuzzy temporal logic , introduced in this paper, proposes to model the figures of thought necessary to form a rhetoric for decision-making  . To exemplify, the intertemporal choices and the lotteries choices are analyzed. The first problem is related to the time preferenceof receiving amounts on different dates. So it is shown that a subadditive hyperbolic discount function is not anomaly, but it consistently describes the goods delay within the fuzzy temporal logic. The second problem is related to values and probabilities of lotteries, where Prospect Theory behaviors and the S-shaped curve can be described using tense operators and fuzzy set operators. In addition, it is shown that some behaviors are amount dependent where the fuzziness can be decisive in the judgment. Thus, time, uncertainty and fuzziness are unified in a single matter which models the rhetoric for decision-making in different contexts of gains and losses .
This paper shows that the fuzzy temporal logic can model figures of thought to describe decision-making behaviors. In order to exemplify, some economic behaviors observed experimentally were modeled from problems of choice containing time, uncertainty and fuzziness. Related to time preference, it is noted that the subadditive discounting is mandatory in positive rewards situations and, consequently, results in the magnitude effect and time effect, where the last has a stronger discounting for earlier delay periods (as in, one hour, one day), but a weaker discounting for longer delay periods (for instance, six months, one year, ten years) . In addition, it is possible to explain the preference reversal (change of preference when two rewards proposed on different dates are shifted in the time). Related to the Prospect Theory, it is shown that the risk seeking and the risk aversion are magnitude dependents, where the risk seeking may disappear when the values to be lost are very high .
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There are moments where we make decisions involving tradeoffs among costs and benefits occurring in different times. Essentially, in these cases, we are evaluating dynamic processes with outcomes still unknown. So, do we use some intuitive logic to judge changes involving values and time? The
This paper shows that the
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, introduced in this paper, proposes to model the
can model
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necessary to form a rhetoric for
to describe
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behaviors. In order to exemplify, some economic behaviors observed experimentally were modeled from problems of choice containing time, uncertainty and fuzziness. Related to time preference, it is noted that the subadditive discounting is mandatory in positive rewards situations and, consequently, results in the magnitude effect and time effect, where the last has a stronger discounting for earlier delay periods (as in, one hour, one day), but a weaker discounting for longer delay periods (for instance, six months, one year, ten years)
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To exemplify, the intertemporal choices and the lotteries choices are analyzed. The first problem is related to the time preferenceof receiving amounts on different dates. So it is shown that a subadditive hyperbolic discount function is not anomaly, but it consistently describes the goods delay within the fuzzy temporal logic. The second problem is related to values and probabilities of lotteries, where Prospect Theory behaviors and the S-shaped curve can be described using tense operators and fuzzy set operators.
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shown that some behaviors are amount dependent where the fuzziness can be decisive in the judgment. Thus, time, uncertainty and fuzziness are unified in a single matter which models the rhetoric for decision-making in different contexts of gains and losses
possible to explain the preference reversal (change of preference when two rewards proposed on different dates are shifted in the time). Related to the Prospect Theory, it is shown that the risk seeking and the risk aversion are magnitude dependents, where the risk seeking may disappear when the values to be lost are very high